Highest Common Factor of 5485, 1630 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5485, 1630 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5485, 1630 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5485, 1630 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5485, 1630 is 5.
HCF(5485, 1630) = 5
HCF of 5485, 1630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5485, 1630 is 5.
Highest Common Factor of 5485,1630 is 5
Step 1: Since 5485 > 1630, we apply the division lemma to 5485 and 1630, to get
5485 = 1630 x 3 + 595
Step 2: Since the reminder 1630 ≠ 0, we apply division lemma to 595 and 1630, to get
1630 = 595 x 2 + 440
Step 3: We consider the new divisor 595 and the new remainder 440, and apply the division lemma to get
595 = 440 x 1 + 155
We consider the new divisor 440 and the new remainder 155,and apply the division lemma to get
440 = 155 x 2 + 130
We consider the new divisor 155 and the new remainder 130,and apply the division lemma to get
155 = 130 x 1 + 25
We consider the new divisor 130 and the new remainder 25,and apply the division lemma to get
130 = 25 x 5 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5485 and 1630 is 5
Notice that 5 = HCF(25,5) = HCF(130,25) = HCF(155,130) = HCF(440,155) = HCF(595,440) = HCF(1630,595) = HCF(5485,1630) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5485, 1630 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5485, 1630?
Answer: HCF of 5485, 1630 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5485, 1630 using Euclid's Algorithm?
Answer: For arbitrary numbers 5485, 1630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.